{"as_of":"2026-08-07T13:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8b8cdd5a1ca9372c3463bea09baeef5ebb9096d258cc90e12fb86c42c7fd70b6","coverage":[{"denominator":18,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T21:27:49.059127Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T10:28:49.539211Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2511.15688","snapshot_observed_at":"2026-08-03T10:28:49.539211Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions.arXiv preprint arXiv:2511.15688, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.10522","last_updated":"2026-07-15T13:49:14Z","snapshot_observed_at":"2026-08-06T06:45:36.593404Z","submitted_at":"2026-01-15T15:50:04Z","title":"Nested hyperedges promote the onset of collective transitions but suppress explosive behavior","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T10:28:49.539211Z"},"links":{"cited_paper":"/paper/2511.15688","citing_paper":"/paper/2601.10522"},"observation_digest":"sha256:9da2641b42c2ad3e93c3348eb4b3f06c549943ce3893a765e5991c7a16c77438","observation_id":"74b2f0ca-9d63-4537-adb2-f5d2ef587cd2","resolution":{"observed_at":"2026-08-03T10:28:49.539211Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2511.15688/citation-record","integrity":"/paper/2511.15688/integrity","json":"/paper/2511.15688/citation-record.json","paper":"/paper/2511.15688"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:27:47.835798Z","title":"Majhi, M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:47.835798Z"},"links":{"citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:72ab81c378967fdb01cb3beaae71a67c0e9b800a6ab13a163bb603d1e6d72e92","observation_id":"a6bd4fa2-6b8c-434c-8484-eb9ff9af8ee1","resolution":{"observed_at":"2026-08-03T21:27:47.835798Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:27:47.919073Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:47.919073Z"},"links":{"citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:25366ff251ae5408d3f3fe6627a11a083e962c0207479b3e7b3d84979f96be35","observation_id":"62f01317-35c7-4166-94cf-0cbf19274901","resolution":{"observed_at":"2026-08-03T21:27:47.919073Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:27:47.985962Z","title":"Ferraz de Arruda, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:47.985962Z"},"links":{"citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:d5c013d438ea71c15c8a72995389ad9aa79392896c319b5f010dbae3cee22db5","observation_id":"c46d44b1-de6f-4628-81ab-b49c541ea23d","resolution":{"observed_at":"2026-08-03T21:27:47.985962Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.02758","last_updated":"2026-06-04T16:19:22Z","snapshot_observed_at":"2026-08-06T20:19:23.970523Z","submitted_at":"2025-07-03T16:20:52Z","title":"Defining and classifying models of groups: The social ontology of higher-order networks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.02758","snapshot_observed_at":"2026-08-03T21:27:48.036927Z","title":"St-Onge, R","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:48.036927Z"},"links":{"cited_paper":"/paper/2507.02758","citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:f5a8a8459c7fb6985c5735cd1759551cdc40a6cba95a87bccf802d55096afcfe","observation_id":"586ce911-daaa-4f4a-9be5-5246276f13a8","resolution":{"observed_at":"2026-08-03T21:27:48.036927Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:27:48.117570Z","title":"Iacopini, G","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:48.117570Z"},"links":{"citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:7657f74a0cd3cfc767c2bf922fe97e9bc580226698012b558538bbf6ce0a2c74","observation_id":"fa44bb9f-be4d-4f41-aed0-8989200f7616","resolution":{"observed_at":"2026-08-03T21:27:48.117570Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:27:48.179230Z","title":"Battiston, C","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:48.179230Z"},"links":{"citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:a314748fc2c0b198f14911019d098207624ae9e04f6508e2773bcf83838be9dd","observation_id":"67f6841f-0a0b-4cf7-a1e1-bcc3ae4cf6cf","resolution":{"observed_at":"2026-08-03T21:27:48.179230Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:27:48.246770Z","title":"Battiston, E","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:48.246770Z"},"links":{"citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:9a8d3a26cb52d9a3fa5cfa7af7f1a4b02922394d54db27c3113282070605aaae","observation_id":"fd43ad09-0e2d-48b9-a38c-0e8aac1f4f55","resolution":{"observed_at":"2026-08-03T21:27:48.246770Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:27:48.299073Z","title":"St-Onge, I","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:48.299073Z"},"links":{"citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:7e10953968afb81555036b364a8020500df9fb45be9eb8de16621e6c38b086c7","observation_id":"172e2301-74c7-4204-b945-9d923bd7a335","resolution":{"observed_at":"2026-08-03T21:27:48.299073Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:27:48.378313Z","title":"Bret´ on-Fuertes, C","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:48.378313Z"},"links":{"citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:6da680da8ab3e3aecd75fed35bcc12f23fed4896fc9d3bf78eb2e53d381e3b19","observation_id":"6b1a0bda-7d1f-433e-80be-b71214d89b09","resolution":{"observed_at":"2026-08-03T21:27:48.378313Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:27:48.498149Z","title":"Malizia, S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:48.498149Z"},"links":{"citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:cb93f0f4fb10a4cb9ed69ceb5fd906c1e9def0775ac06b8ad29235720cb38679","observation_id":"5405e836-20b1-4929-a186-9bae68be8393","resolution":{"observed_at":"2026-08-03T21:27:48.498149Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:27:48.566771Z","title":"Lamata-Ot ´ ın, F","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:48.566771Z"},"links":{"citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:f03679630fceceef6555e20a5df388b4559fefffaa372ab806f94bd00f88ebb7","observation_id":"c206aa37-6939-4132-9267-75c3aaa72cba","resolution":{"observed_at":"2026-08-03T21:27:48.566771Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:27:48.643626Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:48.643626Z"},"links":{"citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:266e3f53d7de4d26f8fc9c72051e419de2d67f3a7e097e8a2c052cedf6c5ae86","observation_id":"e957a8b8-b46a-4314-989d-f41c29122198","resolution":{"observed_at":"2026-08-03T21:27:48.643626Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:27:48.711201Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:48.711201Z"},"links":{"citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:b6a1db060a49c8b873f73bcf27c5bd9f9a4b5cd00b3b6803fb41f8c7e2596699","observation_id":"e1ba66d5-85b1-44d0-9c29-521253e80912","resolution":{"observed_at":"2026-08-03T21:27:48.711201Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:27:48.771140Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:48.771140Z"},"links":{"citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:9d61b12676c782d627a1d7050f022c216b452cfd57b284c736686560e3e34ae3","observation_id":"20fe093c-3e6b-43e5-8f43-5771e6fc635f","resolution":{"observed_at":"2026-08-03T21:27:48.771140Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:27:48.813839Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:48.813839Z"},"links":{"citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:f659c52f7a9c0b3d2a5d9ce633efc1d0238a91778e4f619db6f9b28d333ebf7d","observation_id":"c6639edc-e851-454f-aa7f-c47bc4aa2be1","resolution":{"observed_at":"2026-08-03T21:27:48.813839Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:27:48.912779Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:48.912779Z"},"links":{"citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:d8a452ce65203adc463aaef7daad80de098bb6f8f061965aedf5aba168bbd51e","observation_id":"058bf08d-e937-42ee-b4c4-53fc9152daf9","resolution":{"observed_at":"2026-08-03T21:27:48.912779Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:27:48.988416Z","title":"Kenah and J","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:48.988416Z"},"links":{"citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:b02c0196f2baa549645906415f79621c5f8600e62e5879b93b129a1b19fe8eb4","observation_id":"6af515aa-58b8-4dae-ab1b-ddcafd22525d","resolution":{"observed_at":"2026-08-03T21:27:48.988416Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:27:49.059127Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T21:27:49.059127Z"},"links":{"citing_paper":"/paper/2511.15688"},"observation_digest":"sha256:bc8dc9c89b92293674d2f326f33ad326684f2e8b9c6c81f3d3b97b86f2a17dcb","observation_id":"6739ef28-7a81-48e1-b97d-f744e98d727a","resolution":{"observed_at":"2026-08-03T21:27:49.059127Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2511.15688","last_updated":"2026-06-26T19:08:38Z","latest_version":2,"primary_category":"physics.soc-ph","snapshot_observed_at":"2026-08-04T16:13:57.486060Z","submitted_at":"2025-11-19T18:42:46Z","title":"Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":18,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":18},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2511.15688."}